Deterministic active particles in the overactive limit
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917725823041536 |
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| author | Pikovsky, Arkady |
| author_facet | Pikovsky, Arkady |
| contents | We consider two models of deterministic active particles in an external potential. In the limit where the speed of a particle is fixed, both models coincide and can be formulated as a Hamiltonian system, but only if the potential is time-independent. If the particles are identical, their interaction via a potential force leads to conservative dynamics with a conserved phase volume. In contrast, the phase volume is shown to shrink for non-identical particles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_08412 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Deterministic active particles in the overactive limit Pikovsky, Arkady Chaotic Dynamics We consider two models of deterministic active particles in an external potential. In the limit where the speed of a particle is fixed, both models coincide and can be formulated as a Hamiltonian system, but only if the potential is time-independent. If the particles are identical, their interaction via a potential force leads to conservative dynamics with a conserved phase volume. In contrast, the phase volume is shown to shrink for non-identical particles. |
| title | Deterministic active particles in the overactive limit |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2308.08412 |